A handy way to store small metal items such as nail clippers, tweezers, etc., in a bathroom cabinet is to simply stick a few magnets to the back of the cabinet or inside the cabinet door for holding the items. Then they’ll be organized and in plain sight when you need them.
If your cabinet is not metal, you may need to use a bit of double-sided tape or hot glue to mount the magnets where you want them. Be sure to use the inexpensive gray disc magnets, as the expensive neodymium magnets do not want to let go of your items! — David Farrand